|
|
 |
| |
|
|
|
Totally Equivalent H-J Matrices |
|
|
|
PP: 1671-1675 |
|
|
|
Author(s) |
|
|
|
F. Aydin Akgun,
B. E. Rhoades,
|
|
|
|
Abstract |
|
|
| In 1927 W. A. Hurwitz showed that a row finite matrix is totally regular if and only if it has at most a finite number of
diagonals with negative entries. He also proved that a regular Hausdorff matrix is totally regular if and only if it has all nonnegative
entries. In 1921 Hausdorff proved that the H¨older and Ces´aro matrices are equivalent for each a > −1. Basu, in 1949, compared these
matrices totally. In this paper we investigate these theorems of Hurwitz, Hausdorff, and Basu for the E-J and H-J generalized Hausdorff
matrices. |
|
|
|
|
|
|
|
